This dataset contains CSV files for the figures in the paper titled "On-grid compressive sampling for spherical field measurements in acoustics" in The Journal of the Acoustical Society of America. In this paper, we derive a compressive sampling method for spherical harmonic/spherical wavefunction or Wigner D-function series with sparse coefficients. Applications of these sparse expansions include spherical field measurements in acoustics and spherical near-field antenna measurements, to name a couple. The figures that this dataset is for are examples demonstrating the following: example acoustic field coefficients in the spherical harmonic/spherical wavefunction basis; relationships between spherical harmonic/spherical wavefunction/Wigner D-function coefficient sparsity and spatial Fourier coefficient sparsity; example compressive sampling reconstruction using our proposed compressive sampling method with and without noise; and comparisons between classical Nyquist sampling and our proposed compressive sampling method.

## About this Dataset

**Updated:**2024-02-22

**Metadata Last Updated:**2022-11-09 00:00:00

**Date Created:**N/A

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**Data Provided by:**

**Dataset Owner:**N/A

Title | Data for "On-grid compressive sampling for spherical field measurements in acoustics" in The Journal of the Acoustical Society of America. |
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Description | This dataset contains CSV files for the figures in the paper titled "On-grid compressive sampling for spherical field measurements in acoustics" in The Journal of the Acoustical Society of America. In this paper, we derive a compressive sampling method for spherical harmonic/spherical wavefunction or Wigner D-function series with sparse coefficients. Applications of these sparse expansions include spherical field measurements in acoustics and spherical near-field antenna measurements, to name a couple. The figures that this dataset is for are examples demonstrating the following: example acoustic field coefficients in the spherical harmonic/spherical wavefunction basis; relationships between spherical harmonic/spherical wavefunction/Wigner D-function coefficient sparsity and spatial Fourier coefficient sparsity; example compressive sampling reconstruction using our proposed compressive sampling method with and without noise; and comparisons between classical Nyquist sampling and our proposed compressive sampling method. |

Modified | 2022-11-09 00:00:00 |

Publisher Name | National Institute of Standards and Technology |

Contact | mailto:[email protected] |

Keywords | compressive sensing , compressive sampling , sparse signal processing , far-field pattern , near-field pattern , antenna characterization , Wigner D-functions , spherical harmonics , acoustic fields; |

{ "identifier": "ark:\/88434\/mds2-2842", "accessLevel": "public", "references": [ "https:\/\/doi.org\/10.1121\/10.0014628" ], "contactPoint": { "hasEmail": "mailto:[email protected]", "fn": "Marc Valdez" }, "programCode": [ "006:045" ], "@type": "dcat:Dataset", "landingPage": "https:\/\/data.nist.gov\/od\/id\/mds2-2842", "description": "This dataset contains CSV files for the figures in the paper titled \"On-grid compressive sampling for spherical field measurements in acoustics\" in The Journal of the Acoustical Society of America. In this paper, we derive a compressive sampling method for spherical harmonic\/spherical wavefunction or Wigner D-function series with sparse coefficients. Applications of these sparse expansions include spherical field measurements in acoustics and spherical near-field antenna measurements, to name a couple. The figures that this dataset is for are examples demonstrating the following: example acoustic field coefficients in the spherical harmonic\/spherical wavefunction basis; relationships between spherical harmonic\/spherical wavefunction\/Wigner D-function coefficient sparsity and spatial Fourier coefficient sparsity; example compressive sampling reconstruction using our proposed compressive sampling method with and without noise; and comparisons between classical Nyquist sampling and our proposed compressive sampling method.", "language": [ "en" ], "title": "Data for \"On-grid compressive sampling for spherical field measurements in acoustics\" in The Journal of the Acoustical Society of America.", "distribution": [ { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_1_sorted_coefficients_case_2a.csv", "description": "This file contains the data for supplemental figure 1. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 2a as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_1_sorted_coefficients_case_2a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_2_sorted_coefficients_case_2a.csv", "description": "This file contains the data for supplemental figure 2. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 2a as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_2_sorted_coefficients_case_2a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_3_sorted_coefficients_case_2b.csv", "description": "This file contains the data for supplemental figure 3. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 2b as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_3_sorted_coefficients_case_2b.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_4_sorted_coefficients_case_2b.csv", "description": "This file contains the data for supplemental figure 4. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 2b as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_4_sorted_coefficients_case_2b.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_5_sorted_coefficients_case_2c.csv", "description": "This file contains the data for supplemental figure 5. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 2c as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_5_sorted_coefficients_case_2c.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_4a_SW_coefs_DirPat_CUBE_1098Hz.csv", "description": "This file contains the data for figure 4a. It shows the magnitude of the spherical wavefunction coefficients for the DirPat CUBE driver 1 loudspeaker at 1098Hz. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_4a_SW_coefs_DirPat_CUBE_1098Hz.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_4b_SW_coefs_DirPat_CUBE_1400Hz.csv", "description": "This file contains the data for figure 4b. It shows the magnitude of the spherical wavefunction coefficients for the DirPat CUBE driver 1 loudspeaker at 1400Hz. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_4b_SW_coefs_DirPat_CUBE_1400Hz.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_6_sorted_coefficients_case_2c.csv", "description": "This file contains the data for supplemental figure 6. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 2c as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_6_sorted_coefficients_case_2c.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_7_sorted_coefficients_case_3a.csv", "description": "This file contains the data for supplemental figure 7. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 3a as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_7_sorted_coefficients_case_3a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_8_sorted_coefficients_case_3a.csv", "description": "This file contains the data for supplemental figure 8. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 3a as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_8_sorted_coefficients_case_3a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_9_sorted_coefficients_case_3b.csv", "description": "This file contains the data for supplemental figure 9. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 3b as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_9_sorted_coefficients_case_3b.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_10_sorted_coefficients_case_3b.csv", "description": "This file contains the data for supplemental figure 10. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 3b as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_10_sorted_coefficients_case_3b.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_4c_SW_coefs_DirPat_CUBE_1895Hz.csv", "description": "This file contains the data for figure 4c. It shows the magnitude of the spherical wavefunction coefficients for the DirPat CUBE driver 1 loudspeaker at 1895Hz. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_4c_SW_coefs_DirPat_CUBE_1895Hz.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_3_data_s_D_verus_average_s_F_100_trials.csv", "description": "This file contains the data for Figure 3, which shows the sorted concentrations of the Fourier basis sparsity as a function of Wigner D-function sparsity for different sparsity levels where the Wigner D-function coefficients are set to 1 at random positions. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_3_data_s_D_verus_average_s_F_100_trials.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_5a_sorted_coefficients_case_1a.csv", "description": "This file contains the data for figure 5a. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 1a as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_5a_sorted_coefficients_case_1a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_5b_sorted_coefficients_case_1a.csv", "description": "This file contains the data for figure 5b. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 1a as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_5b_sorted_coefficients_case_1a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_6a_sorted_coefficients_case_1b.csv", "description": "This file contains the data for figure 6a. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 1b as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_6a_sorted_coefficients_case_1b.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_6b_sorted_coefficients_case_1b.csv", "description": "This file contains the data for figure 6b. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 1b as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_6b_sorted_coefficients_case_1b.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_11_classical_Nyquist_RelativeError_vs_n_meas_with_noise.csv", "description": "This file contains the data for figure 11. It shows the relative error (dB) for classical Fourier sampling as a function of sample grid density for cases 1a, 2a, and 3a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_11_classical_Nyquist_RelativeError_vs_n_meas_with_noise.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_12a_RelativeError_vs_n_phys_meas_vs_grid_dens.csv", "description": "This file contains the data for figure 12a. It shows the relative error (dB) for Fourier based compressive sampling as a function of sample grid density and number of measurements for case 1a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_12a_RelativeError_vs_n_phys_meas_vs_grid_dens.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_12b_RelativeError_vs_n_phys_meas_vs_grid_dens.csv", "description": "This file contains the data for figure 12b. It shows the relative error (dB) for Fourier based compressive sampling as a function of sample grid density and number of measurements for case 2a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_12b_RelativeError_vs_n_phys_meas_vs_grid_dens.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_12c_RelativeError_vs_n_phys_meas_vs_grid_dens.csv", "description": "This file contains the data for figure 12c. It shows the relative error (dB) for Fourier based compressive sampling as a function of sample grid density and number of measurements for cases 3a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_12c_RelativeError_vs_n_phys_meas_vs_grid_dens.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_13_coherence_vs_sample_dense_vs_grid_dens.csv", "description": "This file contains the data for figure 13. It shows the average coherence of the 2DDFT CS measurment matrix as a function of grid density and average sample number. The average is over 25 trials. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_13_coherence_vs_sample_dense_vs_grid_dens.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_11_sorted_coefficients_case_3c.csv", "description": "This file contains the data for supplemental figure 11. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 3c as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_11_sorted_coefficients_case_3c.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/supp_figure_12_sorted_coefficients_case_3c.csv", "description": "This file contains the data for supplemental figure 12. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 3c as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "supp_figure_12_sorted_coefficients_case_3c.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/README.txt", "description": "This is a \"read me\" file that contains and overview of the dataset.", "mediaType": "text\/plain", "title": "README.txt" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_7a_sorted_coefficients_case_1c.csv", "description": "This file contains the data for figure 7a. It shows the relative magnitude in dB of the sorted Fourier and Wigner D function coefficients for case 1c as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_7a_sorted_coefficients_case_1c.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_7b_sorted_coefficients_case_1c.csv", "description": "This file contains the data for figure 7b. It shows the coefficient normalized error in dB of the sorted Fourier and Wigner D function coefficients for case 1c as described in the file header and paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_7b_sorted_coefficients_case_1c.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_8a_actual_vs_CS_field_C1a.csv", "description": "This file contains the data for figure 8a. It shows the near-field reconstruction (relative magnitude in dB) using Fourier based compressive sensing for an acoustic field (case 1a from the paper). The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_8a_actual_vs_CS_field_C1a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_8b_CS_field_RelativeError_C1a.csv", "description": "This file contains the data for figure 8b. It shows the relative error (dB) of the near-field reconstruction using Fourier based compressive sensing for an acoustic field (case 1a from the paper). The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_8b_CS_field_RelativeError_C1a.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_9_rel_err_vs_n_phys_meas_Fourier_vs_WingerD.csv", "description": "This file contains the data for figure 9. It shows the coefficient relative error as a function of measurement number for Fourier and Wigner D function based compressive sensing for acoustic fields (case 1a, 2a, 3a from the paper). The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_9_rel_err_vs_n_phys_meas_Fourier_vs_WingerD.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_10_RelativeError_vs_n_phys_meas_c1a_Fourier_vs_WingerD_grid_dens_1_to_4.csv", "description": "This file contains the data for figure 10. It shows the coefficient relative error as a function of measurement number for Fourier and on-grid Wigner D function based compressive sensing for the acoustic fields in case 1a as the sampling grid density is increased. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_10_RelativeError_vs_n_phys_meas_c1a_Fourier_vs_WingerD_grid_dens_1_to_4" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_14a_RelativeError_vs_sample_dense_vs_grid_dens.csv", "description": "This file contains the data for figure 14a. It shows the relative error (dB) for Fourier based compressive sampling as a function of sample grid density and sample density for cases 1a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_14a_RelativeError_vs_sample_dense_vs_grid_dens.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_14b_RelativeError_vs_sample_dense_vs_grid_dens.csv", "description": "This file contains the data for figure 14b. It shows the relative error (dB) for Fourier based compressive sampling as a function of sample grid density and sample density for cases 2a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_14b_RelativeError_vs_sample_dense_vs_grid_dens.csv" }, { "downloadURL": "https:\/\/data.nist.gov\/od\/ds\/mds2-2842\/Figure_14c_RelativeError_vs_sample_dense_vs_grid_dens.csv", "description": "This file contains the data for figure 14c. It shows the relative error (dB) for Fourier based compressive sampling as a function of sample grid density and sample density for cases 3a from the paper. The data is organized as described in the header (first row) of the csv file.", "mediaType": "text\/csv", "title": "Figure_14c_RelativeError_vs_sample_dense_vs_grid_dens.csv" } ], "license": "https:\/\/www.nist.gov\/open\/license", "bureauCode": [ "006:55" ], "modified": "2022-11-09 00:00:00", "publisher": { "@type": "org:Organization", "name": "National Institute of Standards and Technology" }, "accrualPeriodicity": "irregular", "theme": [ "Advanced Communications:Wireless (RF)", "Mathematics and Statistics:Image and signal processing" ], "issued": "2023-01-11", "keyword": [ "compressive sensing", "compressive sampling", "sparse signal processing", "far-field pattern", "near-field pattern", "antenna characterization", "Wigner D-functions", "spherical harmonics", "acoustic fields;" ] }